What is the Least Common Multiple of 34848 and 34852?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 34848 and 34852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34848 and 34852, than apply into the LCM equation.

GCF(34848,34852) = 4
LCM(34848,34852) = ( 34848 × 34852) / 4
LCM(34848,34852) = 1214522496 / 4
LCM(34848,34852) = 303630624

Least Common Multiple (LCM) of 34848 and 34852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34848 and 34852. First we will calculate the prime factors of 34848 and 34852.

Prime Factorization of 34848

Prime Factorization of 34852

Now multiplying the highest exponent prime factors to calculate the LCM of 34848 and 34852.

LCM(34848,34852) = 2⁵ × 3² × 11² × 8713¹
LCM(34848,34852) = 303630624